Yes you can, with two different e-mails, I did it, so I know. When you put your identification document, put one for one EOI, like passport number, and another one for another EOI, like birth certificate number. BUT ! You do not need to do so, because VIC is the only state which does not request EOI for SS application and approval. I got VIC SS without EOI, and they responded within 24 hours.
My advice is to make one EOI for the time being , and apply for SA, and to make a SS application to VIC without making EOI.
Good luck .